Geodesic
A difference scheme for a~conjugate-operator model of the heat conduction problem on non-matching grids
Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 19 (2016) no. 4, pp. 429-439.

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On non-matching grids discrete analogue conjugate-operator models of heat conduction, keeping the structure of the original model are constructed. Numerical experiments show that the difference scheme converges with second order of accuracy for the case of discontinuous parameters of the medium in the Fourier law and non-uniform grids. 
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S. B. Sorokin. A difference scheme for a~conjugate-operator model of the heat conduction problem on non-matching grids. Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 19 (2016) no. 4, pp. 429-439. http://geodesic.mathdoc.fr/item/SJVM_2016_19_4_a6/

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